Pith Number

pith:LPRG7Y6U

pith:2016:LPRG7Y6UHCO75427MH2KWRYEEZ

not attested not anchored not stored refs pending

When multiplicative noise stymies control

Alex Zhai, Gireeja Ranade, Jian Ding, Yuval Peres

arxiv:1612.03239 v2 · 2016-12-10 · cs.SY · math.OC · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPRG7Y6UHCO75427MH2KWRYEEZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:54:15.231680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5be26fe3d4389dfef35f61f4ab4704266d82cc56d349a933d2f8026569cac3ca

Aliases

arxiv: 1612.03239 · arxiv_version: 1612.03239v2 · doi: 10.48550/arxiv.1612.03239 · pith_short_12: LPRG7Y6UHCO7 · pith_short_16: LPRG7Y6UHCO75427 · pith_short_8: LPRG7Y6U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LPRG7Y6UHCO75427MH2KWRYEEZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5be26fe3d4389dfef35f61f4ab4704266d82cc56d349a933d2f8026569cac3ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f853cce494fd1a4318106c38da698d4b5250a858bf974ba468083968cf72b81",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2016-12-10T02:36:59Z",
    "title_canon_sha256": "420a40fa9e122d01e34e6c49e9511d94af1b0b359a83893269e342048f364e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03239",
    "kind": "arxiv",
    "version": 2
  }
}